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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): Aurel Bejancu
Title: Geometry of CR-submanifolds
Additional book information: Mathematics and Its Applications, D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, and Tokyo, xii + 169 pp., $49.50. ISBN 90-277-2194-7


References:

1.
A. Bejancu, CR-submanifolds of a Kaehler manifold. I, II, Proc. Amer. Math. Soc. 69 (1978), 135-142; Trans. Amer. Math. Soc. 250 (1979), 333-345. MR 467630
2.
E. Calabi, Isometric imbedding of complex manifolds, Ann. of Math. 58 (1953), 1-23. MR 57000
3.
E. Calabi, Metric Riemann surfaces, Ann. of Math. Studies (1953), 77-85. MR 61675
4.
B. Y. Chen, CR-submanifolds of a Kaehler manifold. I, II, J. Differential Geom. 16 (1981), 305-322; 493-509. MR 638795
5.
E. Kähler, Über eine bemerkenswerte Hermitische Metrik, Abh. Math. Sem. Univ. Hamburg 9 (1933), 173-186.
6.
S. Kobayashi, Recent results in complex differential geometry, Jahresber. Deutsch. Math.-Verein. 83 (1981), 147-158. MR 635391
7.
K. Ogiue, Differential geometry of Kaehler submanifolds, Adv. in Math. 13 (1974), 73-114. MR 346719
8.
J. A. Schouten and D. van Dantzig, Über unitäre Geometrie, Math. Ann. 103 (1930), 319-346. MR 1512625
9.
J. A. Schouten and D. van Dantzig, Über unitare Geometrie konstanter Krümmung, Proc. Kon. Nederl. Akad. Amsterdam 34 (1931), 1293-1314.
10.
A. Weil, Sur la théorie des formes différentielles attachées à une variété analytique complexe, Comm. Math. Helv. 20 (1947), 110-116. MR 21431
11.
K. Yano and M. Kon, CR-submanifolds of Kaehlerian and Sasakian manifolds, Birkhäuser, Cambridge, 1982. MR 688816


Additional Information:

Reviewer(s):
Bang-yen Chen

Review Information:
Journal: Bull. Amer. Math. Soc. 17 (1987), 149-152.
DOI: 10.1090/S0273-0979-1987-15545-5
PII: S 0273-0979(1987)15545-5




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